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Finding the Fourth Proportional to 1,655.21, 2,482.05 and 962.08

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Solution

The fourth proportional to 1,655.21, 2,482.05 and 962.08 is: 1,442.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.21 : 2,482.05 = 962.08 : x
  2. Step 2: Convert to fraction form
    1,655.21/2,482.05 = 962.08/x
  3. Step 3: Cross multiply
    1,655.21x = 2,482.05 × 962.08
  4. Step 4: Simplify right side
    1,655.21x = 2,387,928.07
  5. Step 5: Solve for x
    x = 2,387,928.07/1,655.21
  6. Step 6: Final answer
    x = 1,442.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.